Chapter 9

NCERT
Class 9
Science
Solutions
1. How does the force of gravitation between two objects change when the distance between then is reduced to half ?

Question:

How does the force of gravitation between two objects change when the distance between then is reduced to half ?

Answer:

We know that,

Gravitational force F = G (m1m2/r2)       …(i)

According to question,

if the distance between them is reduced to half, then,

r1 = r/2

∴ F1 = G (m1m2/(r/2)2

F1 = (Gm1m2/r2).4         …(ii)

From equation (i) and (ii)

F/F1 = 1/4

⇒ F1 = 4F

Thus the force of attraction between them increases to four times.

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